Name______Date______Period______
Review: Slope and Y-intercept
Determine if the relationships in the tables are linear.
x / y /1 / 1 /
3 / 7 /
7 / 19 /
10 / 28 /
1. 2. 3.
x / y /0 / 10 /
1 / 8.5 /
2 / 7 /
3 / 5.5 /
x / y /
0 / 6 /
3 / 8 /
6 / 12 /
9 / 18 /
The following tables are linear. Write the slope.
4. 5.
x / 4 / 5 / 6 / 7y / -2 / -3 / -4 / -5
x / y /
6 / 21 /
8 / 29 /
10 / 37 /
12 / 45 /
6. For each of the following, write LINEAR or NOT LINEAR to describe each function.
a) b) c) d)
______
Find the slope of the line passing through the two points.
7. (12, 11) and (15, 3) 8. (-3, 13) and (-5, -7) 9. (9,-6) and (-8, -6)
10. (3,2) and (– 1, 22) 11. (– 6, 4) and ( 2, 4) 12. (3, 6) and (3, – 9)
Choose any two points to count the slope of the lines. Circle the slope below.
13. 14. 15.
Circle the correct slope Circle the correct slope Circle the correct slope
-3/4 3/4 4/3 -4/3 -5/1 -1/5 5/1 1/5 0 7 undefined/no slope 1
16. What is the slope of the line shown on each graph?
a) b)
m = ______m = ______y intercept: _____
17. For each of the following, write the slope of the equation.
a) b) c) d)
m = ______m = ______m = ______m = ______
18. A plane at an altitude of 33,000 feet begins it’s descent for landing. It descends 100 feet every 10 minutes until it is on the ground. The elevation, y, is a linear function of the number of minutes, x the plane is descending. What does the slope of the function represent?
19. Sara is planning a trip to California in the Spring. The round-trip plane ticket is $450 and the hotel costs $135 per night. The total cost of the trip can be expressed as a linear function, depending on the number of nights she stays. What is the slope of the graph of this linear function?
Word problem for # 20-22: Mike is mowing lawns for a summer job. He charges a different amount depending on the time it takes him to mow the lawn. He also charges a fixed rate for the gasoline he uses to mow the lawn.
20. Complete the process column.
# of hours /Mike’s earnings
2 / $12.003 / $16.50
4 / $21.00
21. What does the ordered pair (3, $16.50) mean in the table above?
22. What is the rate of change of the table above? ______Describe what the rate of change means in Mike’s scenario. ______
23. Arnold went on an all-day hiking trip. The graph below shows the relationship between the time and the distance he traveled.
Hiking Trip
24. If y= 15.95x + 24 is a function relating the cost, y, of buying x amount of student concert tickets, what do you think the slope represents?
______
What number is the slope? ______
Write the slope on the grid on the right and bubble in the answer.
25.
a) What is the rate of change?
______
b) In words, what does the rate of change represent?
______
c) What does the y-intercept mean?
______
26.
a) What is the rate of change?
______
b) In words, what does the rate of change represent?
______
c) What does the y intercept mean? ______
27.
a) What is the rate of change?
______
b) In words, what does the rate of change represent?
______
c) What does the y-intercept mean?
______